Question

Find the gradients of lines A and B.​ NEED ASAP

Answer 1

For a straight-line graph, pick two points on the graph. The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 .

Explanation:

DONT WORRY

Answer 2

8 and - 4

Explanation:

Calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (2.5, 14) ← 2 points on line A

`m_(A)` =
`(14+6)/(2.5-0)` =
`(20)/(2.5)` = 8

Repeat with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (2, 0) ← 2 points on line B

`m_(B)` =
`(0-8)/(2-0)` =
`(-8)/(2)` = - 4